# Suppression of topological Mott-Hubbard phases by multiple charge orders in the honeycomb extended Hubbard model

@article{Bijelic2018SuppressionOT, title={Suppression of topological Mott-Hubbard phases by multiple charge orders in the honeycomb extended Hubbard model}, author={Mario Bijelic and Ryui Kaneko and Claudius Gros and Roser Valent'i}, journal={Physical Review B}, year={2018}, volume={97}, pages={125142} }

We investigate the competition between charge-density-wave (CDW) states and a Coulomb interaction-driven topological Mott insulator (TMI) in the honeycomb extended Hubbard model. For the spinful model with on-site ($U$) and next-nearest-neighbor ($V_2$) Coulomb interactions at half filling, we find two peculiar six-sublattice charge-density-wave insulating states by using variational Monte Carlo simulations as well as the Hartree-Fock approximation. We observe that conventional ordered states… Expand

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#### References

SHOWING 1-10 OF 42 REFERENCES

Emergent lattices with geometrical frustration in doped extended Hubbard models

- Physics
- 2016

Spontaneous charge ordering occurring in correlated systems may be considered as a possible route to generate effective lattice structures with unconventional couplings. For this purpose we… Expand

Competing electronic instabilities of extended Hubbard models on the honeycomb lattice: A functional renormalization group calculation with high-wave-vector resolution

- Physics
- 2017

We investigate the quantum many-body instabilities for electrons on the honeycomb lattice at half-filling with extended interactions, motivated by a description of graphene and related materials. We… Expand

Electronic instabilities of the extended Hubbard model on the honeycomb lattice from functional renormalization

- Physics
- 2016

Interacting fermions on the half-filled honeycomb lattice with short-range repulsions have been suggested to host a variety of interesting many-body ground states, e.g., a topological Mott insulator.… Expand

Stabilization of topological insulator emerging from electron correlations on honeycomb lattice and its possible relevance in twisted bilayer graphene

- Physics
- 2016

Realization and design of topological insulators emerging from electron correlations, called topological Mott insulators (TMIs), is pursued by using mean-field approximations as well as… Expand

Nonlocal density interactions in auxiliary-field quantum Monte Carlo simulations: application to the square lattice bilayer and honeycomb lattice

- Physics
- 2015

We consider an efficient scheme to simulate fermionic Hubbard models with nonlocal density-density interactions in two dimensions, based on bond-centered auxiliary-field quantum Monte Carlo. The… Expand

Topological Mott insulators.

- Physics, Medicine
- Physical review letters
- 2008

Renormalization group analysis shows that topological Mott phases displaying the quantum Hall and the quantum spin Hall effects are found for spinless and spin fermion models, respectively. Expand

Phases of correlated spinless fermions on the honeycomb lattice

- Materials Science, Physics
- 2014

We use exact diagonalization and cluster perturbation theory to address the role of strong interactions and quantum fluctuations for spinless fermions on the honeycomb lattice. We find quantum… Expand

Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice

- Physics, Medicine
- Scientific reports
- 2012

By performing numerically exact quantum Monte Carlo simulations, this work extends the previous study to much larger clusters, and finds, if any, a very weak evidence of this spin liquid region, and indicates a direct and continuous quantum phase transition between SM and AFMI. Expand

Semi-Metal-Insulator Transition of the Hubbard Model in the Honeycomb Lattice

- Physics
- 1992

Using quantum Monte Carlo and finite-size scaling for the Hubbard model, we find evidence of a zero-temperature transition between the nonmagnetic semi-metal and an antiferromagnetic insulator in the… Expand

Interaction-driven phases in the half-filled honeycomb lattice: An infinite density matrix renormalization group study

- Physics
- 2015

The emergence of the Haldane Chern insulator state due to strong short range repulsive interactions in the half-filled fermionic spinless honeycomb lattice model has been proposed and challenged with… Expand